Yang-Baxter Equation on Two-Dimensional Lattice and Some Infinite Dimensional Algebras

Daoud, M.; Douari, J.; Hassouni, Y.

Yang-Baxter Equation on Two-Dimensional Lattice and Some Infinite Dimensional Algebras

Authors

Daoud, M.

Douari, J.

Hassouni, Y.

Description

We show that the Yang-Baxter equation is equivalent to the associativity of the algebra generated by non-commuting link operators. Starting from these link operators we build out the (FFZ) algebras, the $s\ell_q (2)$ is derived by considering a special combination of the generators of (FFZ) algebra.
14 pages